Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-1.0987508704146E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5177129,-16578743079] |
[a1,a2,a3,a4,a6] |
Generators |
[149250173385507:29492833997266078:3789119879] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
12.821582470378 |
L(r)(E,1)/r! |
Ω |
0.044354748999177 |
Real period |
R |
18.066811819859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574o1 15246bu1 9702p1 |
Quadratic twists by: -3 -7 -11 |